V. I. Burenkov, A. Senouci, T. V. Tararykova, “Hardy-type inequality for $0<p<1$ and hypodecreasing functions”, Eurasian Math. J., 2010, том 1, номер 3,страницы 27

Эта публикация цитируется в 8 статьях

Hardy-type inequality for $0<p<1$ and hypodecreasing functions

V. I. Burenkov^a, A. Senouci^b, T. V. Tararykova^a

^a Faculty of Mechanics and Mathematics L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
^b Department of Mathematics Ibnou-Khaldoun University, Tiaret, Algeria

Аннотация: The notion of a hypodecreasing function is introduced. Some properties of hypodecreasing functions are proved and several examples are given. It is established that the Hardy-type inequality for $L_p$-spaces with $0<p<1$ is satisfied for some spaces of hypodecreasing functions. The obtained result is in a certain sense sharp.

Ключевые слова и фразы: the Hardy inequality, $L_p$-spaces with $0<p<1$, hypodecreasing functions.

MSC: 47B38

Поступила в редакцию: 12.07.2010

Язык публикации: английский